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Finding the Fourth Proportional to 2,591.64, 3,888 and 1,130.40

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Solution

The fourth proportional to 2,591.64, 3,888 and 1,130.40 is: 1,695.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.64 : 3,888 = 1,130.40 : x
  2. Step 2: Convert to fraction form
    2,591.64/3,888 = 1,130.40/x
  3. Step 3: Cross multiply
    2,591.64x = 3,888 × 1,130.40
  4. Step 4: Simplify right side
    2,591.64x = 4,394,995.20
  5. Step 5: Solve for x
    x = 4,394,995.20/2,591.64
  6. Step 6: Final answer
    x = 1,695.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.